Answer:
15/17
Step-by-step explanation:
You can use what is called the Pythagorean identity:
sin(θ)² + cos(θ)² = 1
(-8/17)² + cos(θ)² = 1
cos(θ)² = 1 - 64/289 = 225/289
cos(θ) = √(225/289)
cos(θ) = 15/17 . . . . . . . cosine is positive in the 4th quadrant
Answer:
508cm²
Step-by-step explanation:
The prism has 2 sides of 11x14, 2 sides of 14x4, and 2 sides of 4x11.
Hence, the area is twice the sum of the area of the above sides added together.
Surface area = 2[(11 x 14) + (14 x 4) + (4 x 11)] cm² = 508cm²
Answer:F=7
Step-by-step explanation:
5/10 5/9 5/8 they go in this order because as the bottom number gets higher the fraction itself becomes smaller
Answer: you put 9.655 in the account when you opened it
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
Amount earned = 9.80
I = 9.8 - P
R = 6%
T = 3 months. There are 12 months in a year. Converting 3 months to year, it becomes 3/12 = 0.25 year
Therefore
9.8 - P = (P × 6 × 0.25)/100
9.8 - P = 0.015P
0.015P + P = 9.8
1.015P = 9.8
P = 9.8/1.015
P = 9.655